Abstract
The logarithmic derivative of a point process plays a key rôle in the general approach, due to the third author, to constructing diffusions preserving a given point process. In this paper we explicitly compute the logarithmic derivative for determinantal processes on $\mathbb{R}$ with integrable kernels, a large class that includes all the classical processes of random matrix theory as well as processes associated with de Branges spaces. The argument uses the quasi-invariance of our processes established by the first author.
Citation
Alexander I. BUFETOV. Andrey V. DYMOV. Hirofumi OSADA. "The logarithmic derivative for point processes with equivalent Palm measures." J. Math. Soc. Japan 71 (2) 451 - 469, April, 2019. https://doi.org/10.2969/jmsj/78397839
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